Answer:
B. 10
Step-by-step explanation:
First, we need to recognize that the two triangles are similar (the triangle with a leg value of 21 and the triangle with a leg value of 4 and hypotenuse x)
Let's first label the leg of the second triangle as y.
Then, we can set up this equation
Cross multiplying gives us
84=y^2
So, y=sqrt(84) or 2 sqrt(21).
Now, using the pythagorean theorem, we get
4^2+2sqrt(21)^2=x^2
100=x^2
x=10
Answer:
A. 0.62%
B. 28 months
Step-by-step explanation:
A. Calculation for what percentage of total production will the company expect to replace
Let x represents the distribution of life times
Let mean be 34 months
Let standard deviation be 4 months.
Based on the information the full refund on any defective watch for 2 years will represent 24 months (2 years *12 months).
First step
P(X<24)
= p(x-mean/ standard deviation< 24-34/4)
= p(z< -10/4)
=P(z<-2.5)
Second step is to Use the excel function to find NORMSDIST(z) of P(z<-2.5)
NORMSDIST(z)=0.62%
Therefore the percentage of total production will the company expect to replace will be 0.62%
B. Calculation for how much the guarantee period should be
First step
P(X<x)=0.06
P(x-Mean/Standard deviation < x-34/4) = 0.06
Second Step is to Use excel function
P(z<x-34/4) = (Normsinv(0.06)
x-34/4 = -1.555
Now let calculate how much the guarantee period should be
x = -6.22+34 months
x = 27.78
x = 28 months (Approximately)
Therefore the guarantee period should be 28 months
Answer:
3x-4y=-9
Step-by-step explanation:
Answer:
The fourth one J is the answer
Step-by-step explanation:
we only need to find one point(0,-2)
the following selections only the fourth one
when x=0 ,y=-2
Answer:
x = - 13, x = - 3
Step-by-step explanation:
Given
x² + 16x = - 39
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(8)x + 64 = - 39 + 64
(x + 8)² = 25 ( take the square root of both sides )
x + 8 = ± 
= ± 5 ( subtract 8 from both sides )
x = - 8 ± 5, thus
x = - 8 - 5 = - 13 or x = - 8 + 5 = - 3
